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Finding the Fourth Proportional to 2,514.95, 3,470.79 and 1,452.91

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Solution

The fourth proportional to 2,514.95, 3,470.79 and 1,452.91 is: 2,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.95 : 3,470.79 = 1,452.91 : x
  2. Step 2: Convert to fraction form
    2,514.95/3,470.79 = 1,452.91/x
  3. Step 3: Cross multiply
    2,514.95x = 3,470.79 × 1,452.91
  4. Step 4: Simplify right side
    2,514.95x = 5,042,745.50
  5. Step 5: Solve for x
    x = 5,042,745.50/2,514.95
  6. Step 6: Final answer
    x = 2,005.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.